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Finding the Fourth Proportional to 9,262.78, 12,783 and 5,071.03

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Solution

The fourth proportional to 9,262.78, 12,783 and 5,071.03 is: 6,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.78 : 12,783 = 5,071.03 : x
  2. Step 2: Convert to fraction form
    9,262.78/12,783 = 5,071.03/x
  3. Step 3: Cross multiply
    9,262.78x = 12,783 × 5,071.03
  4. Step 4: Simplify right side
    9,262.78x = 64,822,976.49
  5. Step 5: Solve for x
    x = 64,822,976.49/9,262.78
  6. Step 6: Final answer
    x = 6,998.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.